Vacuum Stability Conditions for New $SU(2)$ Multiplets

Fuente: arXiv
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Autori principali: Milagre, André, Jurčiukonis, Darius, Lavoura, Luís
Natura: Preprint
Pubblicazione: 2025
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author Milagre, André
Jurčiukonis, Darius
Lavoura, Luís
author_facet Milagre, André
Jurčiukonis, Darius
Lavoura, Luís
contents We consider the addition to the Standard Model of a scalar $SU(2)$ multiplet $Δ_n$ with dimension $n$ going from $1$ to $6$. The multiplet $Δ_n$ is assumed to have null vacuum expectation value and an arbitrary (free) hypercharge. We determine the shape of the phase space for the new terms that appear in the scalar potential (SP); we observe in particular that, in the case of a 6-plet, the phase space is slightly concave along one of its boundaries. We determine the bounded-from-below and vacuum stability conditions on the SP for each value of $n$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05272
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vacuum Stability Conditions for New $SU(2)$ Multiplets
Milagre, André
Jurčiukonis, Darius
Lavoura, Luís
High Energy Physics - Phenomenology
High Energy Physics - Theory
We consider the addition to the Standard Model of a scalar $SU(2)$ multiplet $Δ_n$ with dimension $n$ going from $1$ to $6$. The multiplet $Δ_n$ is assumed to have null vacuum expectation value and an arbitrary (free) hypercharge. We determine the shape of the phase space for the new terms that appear in the scalar potential (SP); we observe in particular that, in the case of a 6-plet, the phase space is slightly concave along one of its boundaries. We determine the bounded-from-below and vacuum stability conditions on the SP for each value of $n$.
title Vacuum Stability Conditions for New $SU(2)$ Multiplets
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.05272